Orif Ibrogimov

Postdoctoral Researcher

Department of Mathematics
Czech Technical Universit in Prague
Trojanova str. 13, 12000 Prague 2
Czech Republic

E-mail: ibrogori [ A T ] fjfi.cvut.cz

At the moment I am working in the research group of Prof. Dr. David Krejcirik at Czech Technical University in Prague.

I completed my PhD under the supervision of Prof. Dr. Christiane Tretter at University of Bern in Switzerland. Then I was a Honorary Research Associate at the Department of Mathematics at University College London where I worked in the research group of Prof. Dr. Alex Sobolev. My research was funded by an Early Postdoc.Mobility fellowship of the Swiss National Science Foundation.


Research interests

Spectral theory, non-self-adjoint operators, block operator matrices, singular differential and integral operators, applications to mathematical physics.


Publications

Published Papers

  1. Spectral analysis of the spin-boson Hamiltonian with two photons for arbitrary coupling.
    O.O. Ibrogimov, Ann. Henri Poincarè 19 (11), 3561–3579 (2018)
    ArXiv:1801.06908

  2. On the spectrum of an operator in truncated Fock space.
    O.O. Ibrogimov and C. Tretter, Operator Theory: Advances and Applications 263, 321-334 (2018)
    ArXiv:1612.05459

  3. Essential spectrum of non-self-adjoint singular matrix differential operators.
    O.O. Ibrogimov, J. Math. Anal. Appl. 451(1), 473-496 (2017)
    ArXiv:1612.05193

  4. Essential spectrum of elliptic systems of pseudo-differential operators.
    O.O. Ibrogimov and C. Tretter, J. Pseudo-Differ. Oper. Appl. 8(2), 147-166 (2017)
    ArXiv:1703.06344

  5. Functional Equations and the Cauchy Mean Value Theorem.
    Z.M. Balogh, O.O. Ibrogimov and B.S. Mityagin, Aequat. Math. 90, 683-697 (2016)
    ArXiv:1508.00329

  6. Analysis of the essential spectrum of singular matrix differential operators.
    O.O. Ibrogimov, P. Siegl and C. Tretter, J. Differential Equations 260(4), 3881-3926 (2016)
    ArXiv:1512.00759

  7. Essential spectrum of systems of singular differential equations.
    O.O. Ibrogimov, H. Langer, M. Langer and C. Tretter, Acta Sci. Math. (Szeged) 79 (3-4), 423-465 (2013)
    ArXiv:1307.5896

Preprints

  1. Spectral enclosures for non-self-adjoint discrete Schrödinger operators.
    O.O. Ibrogimov and F. Stampach (2019) ArXiv:1903.08620

  2. Sharp bounds for eigenvalues of biharmonic operators with complex potentials in low dimensions.
    O.O. Ibrogimov, D. Krejcirik and A. Laptev (2019) ArXiv:1903.01810

  3. Discrete eigenvalues of the spin-boson Hamiltonian with two photons: on a problem of Minlos and Spohn.
    O.O. Ibrogimov (2019) ArXiv:1902.05549

  4. Spectral analysis of the spin-boson Hamiltonian with two bosons for arbitrary coupling and bounded dispersion relation.
    O.O. Ibrogimov (2019) ArXiv:1901.11534

  5. Essential spectra of non-self-adjoint block operator matrices due to singularity.
    O.O. Ibrogimov and P. Siegl (2018)


Recent & forthcoming talks


Useful links

Conferences in Spectral Theory and Mathematical Physics
International Mathematics Competition for University Students (IMC)